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Do nowMakeup quizzes on WednesdayAlgebraQuiz1B3 on ThursdayPractice: Box Plot and Outlier RuleNameBlock DateThe box-and-whisker plot below shows the distribution of tests scores in Mrs. Uebelhoer’s Algebra 2class.1. Determine the median of the box-and-whisker plot.2. What percentage of students scored between 90 and 100?3. What percentage of students scored between 70 and 90?Joe interviewed the cross country team at his high school to find out how many miles per week theyrun. The following list is the data Joe collected.15, 25, 33, 47, 52, 35, 8, 55, 42, 29, 45, 54, 41, 37, 48, 56, 45, 404. Rewrite the list of data in order from least to greatest.5. Determine the 5-number summary (minimum, lower quartile, median, upper quartile, maximum) of this data.6. Make a box-and-whisker plot for the data set.7. How many miles do the bottom 75% of runners run per week?8. Use the 1.5 IQR rule to determine if there are outliers.Interquartile Range (IQ) Lower Fence 9. If there are outliers:Howwouldthe center(mean, median, mode), spread (range, standard deviation), and shape (symmetry),UpperFence change if there were not outliers?IfOutliersthere are notoutliers:How would the center (mean, median, mode), spread (range, standard deviation), and shape (symmetry),change if there were outliers?Modified Box Plot
DEFINITION:In statistics, an outlier is an observation that isnumerically distant from the rest of the data.How to calculate an outlier1) Subtract the lower quartile from the higher quartileto get the interquartile range, IQ.2) Multiply the interquartile range by 1.5. Add this tothe upper quartile and subtract it from the lowerquartile. Any data point outside these values is a mildoutlier.The lower fence is the lower "cut-off point" for outliersThe upper fence is the upper "cut-off point for outliersLower Fence Q1 - 1,5(IQ)Upper Fence Q3 1,5(IQ)http://youtu.be/PYEGFVqbsCI
The parallel box-and-whisker plot below shows average monthly rainfall for Miami and New Orleans.10. a. Which city shows a greater rangein average monthly rainfall?b. Explain how the parallel box-and-whiskerplot makes it easy to compare the ranges.11. In Miami, what percentage of rainfall was between 60 and 216 millimeters?12. In New Orleans, what percentage of rainfall was between 61 and 130 millimeters?Mrs. Hagan measured the height, in inches, of all the girls in her PE class. She recorded her results inthe following list.63, 60, 67, 62, 58, 63, 68, 59, 62, 65, 56, 63, 59, 62, 5813. Determine the 5-number summary and make a box-and-whisker plot for the data set.14. Between what heights are the middle 50% of the girls in Mrs. Hagan’s PE class?15. Use the 1.5 IQR rule to determine if there are outliers.Interquartile Range (IQ) Lower Fence 16. If there are outliers:UpperFenceHow wouldthe center(mean, median, mode), spread (range, standard deviation), and shape (symmetry),change if there were not outliers?Outliers If there arenot outliers:How would the center (mean, median, mode), spread (range, standard deviation), and shape (symmetry),change if there were outliers?Modified Box Plot
Tonight's HWAP Statistics1.The following are the scores of 12 members of a woman’s golf team in tournament lots WorksheetConstruct a modified boxplot of the data.Are there any outliers?Find the mean.Based on the mean and median describe the distribution.Students from a statistics class were asked to record their heights in 06564a) Construct a modified boxplot of the data.b) Find the value of the IQR.c) Are there any outliers? List them, if any, and try to offer an explanation.3.Below is the data on maximum daily rainfall in South Bend, Indiana over a 30-year .502.993.482.124.692.292.12a)b)c)d)Compute the 5 number summary.Draw a modified boxplot.Are there any outliers?Based on the shape of the distribution (histogram) do you expect the mean to fall distinctly above themedian, close to the median, or distinctly below the median?AP Statistics1.The following are the scores of 12 members of a woman’s golf team in tournament lots WorksheetConstruct a modified boxplot of the data.Are there any outliers?Find the mean.Based on the mean and median describe the distribution.Students from a statistics class were asked to record their heights in 06564a) Construct a modified boxplot of the data.b) Find the value of the IQR.c) Are there any outliers? List them, if any, and try to offer an explanation.3.Below is the data on maximum daily rainfall in South Bend, Indiana over a 30-year .502.993.482.124.692.292.12a)b)c)d)Compute the 5 number summary.Draw a modified boxplot.Are there any outliers?Based on the shape of the distribution (histogram) do you expect the mean to fall distinctly above themedian, close to the median, or distinctly below the median?
2) Multiply the interquartile range by 1.5. Add this to the upper quartile and subtract it from the lower quartile. Any data point outside these values is a mild outlier. The lower fence is the lower "cut-off point" for outliers The upper fence is the upper "cut-off point for outliers Lower Fence Q1 - 1,5(IQ) Upper Fence Q3 1,5(IQ)
